Properties

Label 25872.y
Number of curves $1$
Conductor $25872$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 25872.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.y1 25872bi1 \([0, -1, 0, -30, 99]\) \(-562432/297\) \(-1629936\) \([]\) \(4608\) \(-0.10382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25872.y do not have complex multiplication.

Modular form 25872.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - q^{11} - 7 q^{13} - q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display